PERSISTENCY OF EXCITATION IN IDENTIFICATION USING RADIAL BASIS FUNCTION APPROXIMANTS

被引：265

作者：

KURDILA, AJ ^{[1
]}

NARCOWICH, FJ ^{[1
]}

WARD, JD ^{[1
]}

机构：

[1] TEXAS A&M UNIV,DEPT MATH,COLLEGE STN,TX 77843

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1995年 / 33卷 / 02期

关键词：

PERSISTENCY OF EXCITATION; IDENTIFICATION; RADIAL BASIS FUNCTIONS;

D O I：

10.1137/S0363012992232555

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, identification algorithms whose convergence and rate of convergence hinge on the regressor vector being persistently exciting are discussed. It is then shown that if the regressor vector is constructed out of radial basis function approximants, it will be persistently exciting, provided a kind of ''ergodic'' condition is satisfied. In addition, bounds on parameters associated with the persistently exciting regressor vector are provided; these parameters are connected with both the convergence and rates of convergence of the algorithms involved.

引用

页码：625 / 642

页数：18

共 29 条

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